5(x-2)=-(x+6)

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Solution for 5(x-2)=-(x+6) equation:


Simplifying
5(x + -2) = -1(x + 6)

Reorder the terms:
5(-2 + x) = -1(x + 6)
(-2 * 5 + x * 5) = -1(x + 6)
(-10 + 5x) = -1(x + 6)

Reorder the terms:
-10 + 5x = -1(6 + x)
-10 + 5x = (6 * -1 + x * -1)
-10 + 5x = (-6 + -1x)

Solving
-10 + 5x = -6 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
-10 + 5x + x = -6 + -1x + x

Combine like terms: 5x + x = 6x
-10 + 6x = -6 + -1x + x

Combine like terms: -1x + x = 0
-10 + 6x = -6 + 0
-10 + 6x = -6

Add '10' to each side of the equation.
-10 + 10 + 6x = -6 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = -6 + 10
6x = -6 + 10

Combine like terms: -6 + 10 = 4
6x = 4

Divide each side by '6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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